A projectile is fired vertically upwards with an initial velocity $u$. After an interval of $T$ seconds a second projectile is fired vertically upwards, also with initial velocity $u$.

Water drops fall at regular intervals from a tap which is $5\,\,m$ above the ground. The third drop is leaving the tap at the instant the first drop touches the ground. How far above the ground is the second drop at that instant………$m$

A body falling from a high Minaret travels $40$ meters in the last $2$ seconds of its fall to ground. Height of Minaret in meters is (take $g = 10\,m/{s^2}$)

A balloon was moving upwards with a uniform velocity of $10\, {m} / {s}$. An object of finite mass is dropped from the balloon when it was at a height of $75\, {m}$ from the ground level. The height of the balloon from the ground when object strikes the ground was around.(In ${m}$) (Takes the value of $g$ as $10 \,{m} / {s}^{2}$ )

A ball is dropped from the top of a $100\; m$ high tower on a planet. In the last $\frac{1}{2}\;s $ before hitting the ground, it covers a distance of $19\; \mathrm{m}$. Acceleration due to gravity (in $\mathrm{ms}^{-2}$ ) near the surface on that planet is